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Finding the Fourth Proportional to 6,105.28, 9,192.31 and 5,568.28

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Solution

The fourth proportional to 6,105.28, 9,192.31 and 5,568.28 is: 8,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.28 : 9,192.31 = 5,568.28 : x
  2. Step 2: Convert to fraction form
    6,105.28/9,192.31 = 5,568.28/x
  3. Step 3: Cross multiply
    6,105.28x = 9,192.31 × 5,568.28
  4. Step 4: Simplify right side
    6,105.28x = 51,185,355.93
  5. Step 5: Solve for x
    x = 51,185,355.93/6,105.28
  6. Step 6: Final answer
    x = 8,383.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.